Cooperative Parrondo's Games on a Two-dimensional Lattice

Details Cooperative Parrondo's Games on a Two-dimensional Lattice Cooperative Parrondo's Games on a Two-dimensional Lattice

2005-09-29

arxiv.org/abs/cond-mat/0509783v1

Physics

Condensed Matter

Statistical Mechanics

Presented at the 3rd Int. Conference NEXT-SigmaPhi; Figures not included

Scientific paper

10.1016/j.physa.2006.01.032

Cooperative Parrondo's games on a regular two dimensional lattice are analyzed based on the computer simulations and on the discrete-time Markov chain model with exact transition probabilities. The paradox appears in the vicinity of the probabilites characterisitic of the "voter model", suggesting practical applications. As in the one-dimensional case, winning and the occurrence of the paradox depends on the number of players.

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